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Finding the Fourth Proportional to 850.68, 1,275.34 and 782.34

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Solution

The fourth proportional to 850.68, 1,275.34 and 782.34 is: 1,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.68 : 1,275.34 = 782.34 : x
  2. Step 2: Convert to fraction form
    850.68/1,275.34 = 782.34/x
  3. Step 3: Cross multiply
    850.68x = 1,275.34 × 782.34
  4. Step 4: Simplify right side
    850.68x = 997,749.50
  5. Step 5: Solve for x
    x = 997,749.50/850.68
  6. Step 6: Final answer
    x = 1,172.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.